18723616000 has 72 divisors (see below), whose sum is σ = 46642947624. Its totient is φ = 7489433600.

The previous prime is 18723615997. The next prime is 18723616013. The reversal of 18723616000 is 61632781.

It can be written as a sum of positive squares in 4 ways, for example, as 827597824 + 17896018176 = 28768^2 + 133776^2 .

It is a super-2 number, since 2×18723616000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260557 + ... + 324556.

It is an arithmetic number, because the mean of its divisors is an integer number (647818717).

Almost surely, 2^18723616000 is an apocalyptic number.

18723616000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18723616000 is an abundant number, since it is smaller than the sum of its proper divisors (27919331624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18723616000 is an frugal number, since it uses more digits than its factorization.

18723616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585144 (or 585120 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 18723616000 in words is "eighteen billion, seven hundred twenty-three million, six hundred sixteen thousand".